112985600 has 240 divisors, whose sum is σ = 348081888. Its totient is φ = 35389440.

The previous prime is 112985597. The next prime is 112985611. The reversal of 112985600 is 6589211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164752 + ... + 1164848.

Almost surely, 2^112985600 is an apocalyptic number.

112985600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174040944).

112985600 is an abundant number, since it is smaller than the sum of its proper divisors (235096288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112985600 is an equidigital number, since it uses as much as digits as its factorization.

112985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 112985600 is about 10629.4684721297. The cubic root of 112985600 is about 483.4382755352.

The spelling of 112985600 in words is "one hundred twelve million, nine hundred eighty-five thousand, six hundred".